Question: Conditional Probability: Cycle Time A cement truck delivers mixed cement to a large construction site. Let x represent the cycle time in minutes for the

Conditional Probability: Cycle Time A cement truck delivers mixed cement to a large construction site. Let x represent the cycle time in minutes for the truck to leave the construction site, go back to the cement plant, fill up, and return to the construction site with another load of cement. From past experience, it is known that the mean cycle time is m 5 45 minutes with s 512 minutes. The x distribution is approximately normal.

(a) What is the probability that the cycle time will exceed 60 minutes, given that it has exceeded 50 minutes? Hint: See Problem 39.

(b) What is the probability that the cycle time will exceed 55 minutes, given that it has exceeded 40 minutes?

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